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Finding the Third Proportional to 486,316 and 759,006

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Solution

The third proportional to 486,316 and 759,006 is: 1,184,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,316 : 759,006 = 759,006 : x
  2. Step 2: Convert to fraction form
    486,316/759,006 = 759,006/x
  3. Step 3: Cross multiply
    486,316x = 759,006 × 759,006
  4. Step 4: Simplify right side
    486,316x = 576,090,108,036
  5. Step 5: Solve for x
    x = 576,090,108,036/486,316
  6. Step 6: Final answer
    x = 1,184,600.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.